As artificial intelligence pushes digital infrastructure beyond Earth’s boundaries, the law remains firmly grounded. The first space data center projects already reveal a major blind spot: how can data flows be regulated without a territorial basis? At first glance, the idea still seems like science fiction. Yet space data centers are no longer merely an engineer’s fantasy: several industrial projects are emerging, driven by the promise of abundant solar energy, natural cooling, and a reduced environmental footprint. But behind this technological vision looms a far more pressing question: what laws apply…